Answer:

Step-by-step explanation:
Given a ΔLMN.
Line LN is extended to point O.
such that:

and

To find:

Solution:
Kindly refer to the attached image for the given triangle and dimensions of angles.
Let us recall the external angle property of a triangle:
The external angle of a triangle is equal to the sum of two opposite internal angles.
i.e.

Putting the value of
in
.

Solution:
There are four kinds of rigid transformations.
1. Reflection
2. Rotation
3. Translation
4. Dilation
1. The Meaning of term reflection is when we reflect something through a line or mirror the distance of object from line of reflection on both sides are same. The two images Preimage and image are congruent.
2. Rotation means rotating an object or geometrical shape through an angle. An angle can be of any measure that is 0,30°,45°,90°,...... In rotation the two , image and preimage are congruent.
3. While in translation , we shift something from a place to another place keeping the two images,that is image and preimage are congruent.
In all three,either in reflection, rotation,or translation there is no change in shape and size, the two that is image and Preimage are congruent.
Answer:
A 18
Step-by-step explanation:
f(x) = 4x + 10
f(2) = 4(2) + 10
f(2) = 8 + 10
f(2) = 18
Answer:
6 + 3
+ 2
+ 
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Given
(3 +
)(2 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 +
) +
(2 +
) ← distribute both parenthesis
= 6 + 3
+ 2
+ 
The measure of m∠J=90°, m∠G=55° and m∠H=35°
Step-by-step explanation:
Inscribed angles subtended by a diameter are right angles. Hence angle GJH =90°
The diameter GH and chord GJ intercepts an arc with a measure of 70°.The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. Hence angle GOJ=70°. Radius of circle GO=OJ, which means triangle GOJ is an isosceles triangle thus ∠OJG=∠OGJ =(180° -70°) /2 = 55°. m∠G=55°
m∠H = (180°-(90°+55°) ) = 180° - 145° =35°
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Angles subtended by a diameter :brainly.com/question/10345730
Keywords : measures, angles, diameter, chord, intercepts, arc
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